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A modification of Faddeev–Popov approach free from Gribov ambiguity
Communications in Theoretical Physics ( IF 3.1 ) Pub Date : 2020-11-25 , DOI: 10.1088/1572-9494/abb7cb
Chong-yao Chen 1 , Fei Gao 1 , Yu-Xin Liu 1, 2, 3
Affiliation  

We propose a modified version of the Faddeev-Popov quantization approach for non-Abelian gauge field theory to avoid the Gribov ambiguity. We show that by means of introducing a new method to insert the correct identity into the Yang-Mills generating functional and considering the identity generated by an integral through a subgroup of the gauge group, the problem of the Gribov ambiguity can be removed naturally. Meanwhile by implementing the method to deal with the absolute value of the Faddeev-Popov determinant introduced by Ghiotti and collaborators, we lift the Jacobian determinant together with the absolute value and obtain a local Lagrangian. The new Lagrangian have a nilpotent symmetry which can be viewed as an analogue of the BRST symmetry.

中文翻译:

无 Gribov 歧义的 Faddeev-Popov 方法的改进

我们为非阿贝尔规范场理论提出了 Faddeev-Popov 量化方法的修改版本,以避免 Gribov 歧义。我们表明,通过引入一种新方法将正确的恒等式插入杨-米尔斯生成泛函,并考虑通过规范群的一个子群的积分产生的恒等式,可以自然地消除格里博夫歧义问题。同时通过实施Ghiotti及其合作者引入的Faddeev-Popov行列式绝对值处理方法,将雅可比行列式与绝对值一起提升,得到局部拉格朗日量。新拉格朗日函数具有幂零对称性,可以将其视为 BRST 对称性的类似物。
更新日期:2020-11-25
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